Question

Find the values of X and Y

Answer 1

the answer to this is x=4 y=12 if you need further explanation let me know

Answer 2

From the image we have,

`(11x-6)^(\circ)` and
`(13y-14)^(\circ)` are linear pairs.

Linear Pair Theorem: If two angles form a linear pair, then they are supplementary.

therefore, by above theorem we have,

`11x-6+13y-14=180^(\circ)`

simplify:

`11x+13y=200^(\circ)`

Since, we can seen from the image we have,
`15x-8=90^(\circ)`

`15x=98^(\circ)`

therefore,
`x=6.534^(\circ)`

Now, putting the value of x in equation
`11x+13y=200^(\circ)` to find for y:

`11\cdot 6.534+13y=200^(\circ)`

`71.8667+13y=200^(\circ)`

`13y=200-71.867=128.134^(\circ)`

Therefore the values of
`x=6.534^(\circ)` and
`y=128.134^(\circ)`